Square root of 75

Algebra. Simplify square root of 450. √450 450. Rewrite 450 450 as 152 ⋅2 15 2 ⋅ 2. Tap for more steps... √152 ⋅2 15 2 ⋅ 2. Pull terms out from under the radical. 15√2 15 2. The result can be shown in multiple forms.To take the square root of a number, press [2ND] (the secondary function key) and then [√ ] (the radical symbol key which is used to take the square root of a number) and then the number that you want to find the square root of and then the [ENTER] key.Example: To find the square root of 2, push: [2ND] [√ ] 2 [ENTER] This will give you the answer of: …Algebra. Simplify square root of 75- square root of 27. √75 − √27 75 - 27. Simplify each term. Tap for more steps... 5√3−3√3 5 3 - 3 3. Subtract 3√3 3 3 from 5√3 5 3. 2√3 2 3. The result can be shown in multiple forms.Algebra. Round to the Nearest Hundredth square root of 75. √75 75. Convert √75 75 to a decimal. 8.66025403 8.66025403. Find the number in the hundredth place 6 6 and look one place to the right for the rounding digit 0 0. Round up if this number is greater than or equal to 5 5 and round down if it is less than 5 5. 8.66 8.66.The square root consists in the opposite operation. For example, if we need to calculate the square root of 9, the result would be 3. Now, the idea is to get the integer number between the square root of 75 lies. Note that the square root of 75 is not an integer. If we multiply twice 8.6603 we obtain 75. If we multiply the number 8 twice, we ...Pre-Algebra. Simplify 3 square root of 27. 3√27 3 27. Rewrite 27 27 as 32 ⋅3 3 2 ⋅ 3. Tap for more steps... 3√32 ⋅3 3 3 2 ⋅ 3. Pull terms out from under the radical. 3(3√3) 3 ( 3 3) Multiply 3 3 by 3 3.What is the square root of 27 plus the square root of 75? Algebra Radicals and Geometry Connections Addition and Subtraction of Radicals. 1 Answer. George C. Jul 14, 2015. √27 + √75 = 8√3.Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. See examples, practice problems, and tips from other learners.The square root of 2 (1.4142...) is a positive real number that, when multiplied by itself or squared, equals the number 2.It may be written in mathematics as or /.It is an algebraic number, and therefore not a transcendental number.Technically, it should be called the principal square root of 2, to distinguish it from the negative number with the same property.What is square root? Definition of square root. A square root of a number 'x' is a number y such that y 2 = x, in other words, a number y whose square is y. For example, 5 is the square root of 25 because 5 2 = 5•5 = 25, -5 is square root of 25 because (-5) 2 = (-5)•(-5) = 25. When writing math, people often use sqrt(x) to mean the square root of x.Algebra. Solve Using the Square Root Property x^2=75. x2 = 75 x 2 = 75. Take the specified root of both sides of the equation to eliminate the exponent on the left side. x = ±√75 x = ± 75. Simplify ±√75 ± 75. Tap for more steps... x = ±5√3 x = ± 5 3. The complete solution is the result of both the positive and negative portions of ...Solution for square root of -75. Start your trial now! First week only $4.99! arrow_forwardEvaluate square root of 75/3. √ 75 3 75 3. Divide 75 75 by 3 3. √25 25. Rewrite 25 25 as 52 5 2. √52 5 2. Pull terms out from under the radical, assuming positive real numbers. 5 5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...The square root of 75.85 is the number y such that y² = 75.85. Here you can learn all about it; in addition to a calculator you will like. ... Note that each article also contains a square root calculator, as well as links to frequent and related calculations including, but not limited to a number squared, and further information. ...Lightspeed and Square are two of the top POS systems on the market. See how they compare in our Lightspeed vs Square review. Retail | Versus REVIEWED BY: Meaghan Brophy Meaghan has...Therefore 4 + 7 will also be irrational. Explanation: The answer will be irrational. 7 is an an ... sqrt (175) Simplified Root : 5 • sqrt (7) Simplify : sqrt (175) Factor 175 into its prime factors 175 = 52 • 7 To simplify a square root, we extract factors which are squares, ... sqrt (675) Simplified Root : 15 • sqrt (3) Simplify : sqrt ...Use this online calculator to easily calculate the square root of a given number, including fractions. Learn the definition, properties and applications of square roots, and see the table of commonly used square roots. …Calculate the Square Root √153 1 5 3. Calculate the Square Root √0.25 0. 2 5. Calculate the Square Root √75 7 5. Free square root calculator - step-by-step solutions to help calculate the square root of the radical expression. Find the square root of 75.5. √ Square Root Calculator' with step-by-step solution using the Babylonian Method or Hero's Method. Square Root Table.The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, ... Opposite of a power is SQroot. The Square root of 14.0625 = 3.75. Step 4. Check 48(3.75)^2 - 675 = 0. Some irrational numbers?The two consecutive integers between which the square root of 75 lies are 8 and 9. 82 is 64 and 92 is 81. Tags Math and Arithmetic Algebra Numbers SubjectsThe square root of the square root of x is therefore $$\sqrt{\sqrt x} = (\sqrt x)^{1/2} = (x^{1/2})^{1/2} = x^{1/4} = \sqrt[\large 4] x$$ Since the domain of $\sqrt x$ is $[0, + \infty)$, this is also the domain of $\sqrt{\sqrt x} = x^{1/4}$. Share. Cite. Follow edited Jan 6, 2021 at 20:28. answered Jun ...The cube root of 75 is the number y such that y³ = 75. Here you can learn all about it; in addition to a calculator you will like. Skip to content Square Root. Square √ et cetera ⇄ ... Note that each article also contains a square root calculator, as well as links to frequent and related calculations including, but not limited to a ...Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. See examples, practice problems, and tips from other …The square root 75 in simplest radical form will be .. We have to Express the square root 75 in simplest radical form.. We know that An expression that uses a root, such as a square root, cube root is known as a radical notation.. First find the factors of 75.. The factors of 75 will be,. Now, since 5 is in pair under the root so it will come out from the root,Algebra. Simplify square root of 108. √108 108. Rewrite 108 108 as 62 ⋅3 6 2 ⋅ 3. Tap for more steps... √62 ⋅3 6 2 ⋅ 3. Pull terms out from under the radical. 6√3 6 3. The result can be shown in multiple forms.Then, the square root of the decimal value is taken, and the result is multiplied by 10 to obtain the SRG as a percentage. For example, if a student receives a percentage grade of 80%, the Square Root Curve Grade would be: SRG = √0.8 * 10 = 8.94. Therefore, the student's Square Root Curve Grade would be 8.94% (rounded to two decimal places).2. Take the square roots of your perfect square factors. The product property of square roots states that for any given numbers a and b, Sqrt (a × b) = Sqrt (a) × Sqrt (b). Because of this property, we can now take the square roots of our perfect square factors and multiply them together to get our answer.The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5.It is more precisely called the principal square root of 5, to distinguish it from the negative number with the same property.This number appears in the fractional expression for the golden ratio.It can be denoted in surd form as: . It is an irrational algebraic number.Free simplify calculator - simplify algebraic expressions step-by-stepAlgebra. Simplify square root of 150. √150 150. Rewrite 150 150 as 52 ⋅6 5 2 ⋅ 6. Tap for more steps... √52 ⋅6 5 2 ⋅ 6. Pull terms out from under the radical. 5√6 5 6. The result can be shown in multiple forms.Algebra. Simplify square root of 75x^2y. √75x2y 75 x 2 y. Rewrite 75x2y 75 x 2 y as (5x)2 ⋅(3y) ( 5 x) 2 ⋅ ( 3 y). Tap for more steps... √(5x)2 ⋅ (3y) ( 5 x) 2 ⋅ ( 3 y) Pull terms out from under the radical. 5x√3y 5 x 3 y.Unit Imaginary Number. The square root of minus one √ (−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √ (−1) is i for imaginary. But in electronics the symbol is j, because i is used for current, and j is next in the alphabet.Algebra. √75 75. Rewrite 75 75 as 52 ⋅3 5 2 ⋅ 3. Tap for more steps... √52 ⋅3 5 2 ⋅ 3. Pull terms out from under the radical. 5√3 5 3. The result can be shown in multiple forms. Exact Form:It is √75 =√3×52 = 5×√3. Was this answer helpful? What is the square root of 75? 1. Sin square ( 75 - A ) + cos square ( 45 +A ) If square root of 5=2.236 and square root of 10=3.162 then what is the value of square root of 10 minus square root of 5 diveded by square root of 2. What is the square root of 1.44? To find between which two consecutive whole numbers the square root of 75 lies, we can calculate the square roots of the two consecutive whole numbers and see where the square root of 75 falls. Let's start by calculating: Square root of 64 = √64 ≈ 8. Square root of 81 = √81 = 9. So, the square root of 75 is between 8 and 9. In ...Algebra. Solve Using the Square Root Property 3x^2=75. 3x2 = 75 3 x 2 = 75. Divide each term in 3x2 = 75 3 x 2 = 75 by 3 3 and simplify. Tap for more steps... x2 = 25 x 2 = 25. Take the specified root of both sides of the equation to eliminate the exponent on the left side. x = ±√25 x = ± 25.Simplify square root of 75x^8. √75x8 75 x 8. Rewrite 75x8 75 x 8 as (5x4)2 ⋅3 ( 5 x 4) 2 ⋅ 3. Tap for more steps... √(5x4)2 ⋅3 ( 5 x 4) 2 ⋅ 3. Pull terms out from under the radical. 5x4√3 5 x 4 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step ...Algebra. Simplify square root of 18. √18 18. Rewrite 18 18 as 32 ⋅2 3 2 ⋅ 2. Tap for more steps... √32 ⋅2 3 2 ⋅ 2. Pull terms out from under the radical. 3√2 3 2. The result can be shown in multiple forms.color(blue)(5sqrt3 sqrt(12) = sqrt(2*2*3) = 2sqrt3 sqrt(27) = sqrt(3*3*3) = 3sqrt3 2sqrt3 + 3sqrt3 = color(blue)(5sqrt3Learn how to find the square root of 75 by the average method and the long division method. The square root of 75 is 8.66, an irrational number with never-ending decimal points. See examples, tips and tricks, FAQs and more on square roots. We've got an exclusive Square promo code for hardware. Use code PTMSquare for 20% off your first hardware purchase. For new customers only. Part-Time Money® Make extra money in you...The square root of 38.75 is the number y such that y² = 38.75. Here you can learn all about it; in addition to a calculator you will like. ... Note that each article also contains a square root calculator, as well as links to frequent and related calculations including, but not limited to a number squared, and further information. ...This online calculator for fifth roots is set up specifically to calculate 5th root. To calculate any root of a number use our Nth root calculator. This calculator will find the 5th root of a number, so it's simply a specialized form of our common Roots Calculator also know as a Radicals Calculator. Fifth roots (for integer results 1 through 10)Algebra. Solve Using the Square Root Property x^2=75. x2 = 75 x 2 = 75. Take the specified root of both sides of the equation to eliminate the exponent on the left side. x = ±√75 x = ± 75. Simplify ±√75 ± 75. Tap for more steps... x = ±5√3 x = ± 5 3. The complete solution is the result of both the positive and negative portions of ...Learn how to calculate the square root of 75 in decimal form and how to simplify it using prime factorization. The square root of 75 is 8.6602540378444, which is the product of 3 …If 2 cos 2A= root 3 and A is acute. 1. Sin square ( 75 - A ) + cos square ( 45 +A ) View Solution. Q 4.The square root of 0.75 is the number y such that y² = 0.75. Here you can learn all about it; in addition to a calculator you will like. ... Note that each article also contains a square root calculator, as well as links to frequent and related calculations including, but not limited to a number squared, and further information. ...Here is the answer to questions like: What is the square root of 75 | √75 or what is the square root of 75? Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.Algebra. Simplify square root of 48. √48 48. Rewrite 48 48 as 42 ⋅3 4 2 ⋅ 3. Tap for more steps... √42 ⋅3 4 2 ⋅ 3. Pull terms out from under the radical. 4√3 4 3. The result can be shown in multiple forms.1. Find the largest number whose square is less than or equal to the number in the leftmost group ( 22 < 5 < 3 3 ). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (05). Divide and get the remainder (1 in this case). 2. Put the decimal point.Algebra. Evaluate square root of 75. √75 75. Rewrite 75 75 as 52 ⋅3 5 2 ⋅ 3. Tap for more steps... √52 ⋅3 5 2 ⋅ 3. Pull terms out from under the radical. 5√3 5 3. The result can be …What is square root? Definition of square root. A square root of a number 'a' is a number x such that x 2 = a, in other words, a number x whose square is a. For example, 5 is the square root of 25 because 5 2 = 5•5 = 25, -5 is square root of 25 because (-5) 2 = (-5)•(-5) = 25.Here is the answer to questions like: What is the square root of 75.69 | √75.69 or what is the square root of 75.69? Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.We can leverage the radical property. √ a b = √a √b. All this is saying is that the square root of the quotient is the same as the quotient of the square roots. We can now rewrite our expression as. √12 √75. This is equivalent to. (√4 ⋅ √3) (√25 ⋅ √3) Since we have a √3 on the top and bottom, these cancel: √4 ⋅ √3 ...To sum up, the square roots of 85.75 are ±9.2601295887; the positive real value is the principal. Finding the second root of the number 85.75 is the inverse operation of rising the ²√85.75 to the power of 2. That is to say, (±9.2601295887) 2 = 85.75. Further information about the root of a number like ²√85.75 can be found on our page n ... Basic Math. Simplify square root of 75+ square root of 27. √75 + √27 75 + 27. Simplify each term. Tap for more steps... 5√3+3√3 5 3 + 3 3. Add 5√3 5 3 and 3√3 3 3. 8√3 8 3. The result can be shown in multiple forms.Apr 7, 2015 · Apr 7, 2015. We have to first find the largest square factor in the number that you are square rooting. 75 = 25 x 3. 25 is a square number! 25 = 52. √75 = √25 x √3. √75 = 5 x √3 = 5√3. 3 is a prime number and does not have any factors and thus the square root of 3 cannot be simplified further. The square root of the number “25” is either five or negative five. A square root of a given number is the number that when multiplied by itself yields that given number. A square ...Algebra. Simplify square root of 54. √54 54. Rewrite 54 54 as 32 ⋅6 3 2 ⋅ 6. Tap for more steps... √32 ⋅6 3 2 ⋅ 6. Pull terms out from under the radical. 3√6 3 6. The result can be shown in multiple forms.The square root of 0.75 is the number y such that y² = 0.75. Here you can learn all about it; in addition to a calculator you will like. ... Note that each article also contains a square root calculator, as well as links to frequent and related calculations including, but not limited to a number squared, and further information. ...This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: Express the square root of 75 in the form a?b. Give the value of a followed by the value of b separated by a comma. Express the square root of 75 in the form a?b. Give the value of a followed by the ...Algebra. Simplify square root of 63. √63 63. Rewrite 63 63 as 32 ⋅7 3 2 ⋅ 7. Tap for more steps... √32 ⋅7 3 2 ⋅ 7. Pull terms out from under the radical. 3√7 3 7. The result can be shown in multiple forms.1. Find the largest number whose square is less than or equal to the number in the leftmost group ( 22 < 5 < 3 3 ). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (05). Divide and get the remainder (1 in this case). 2. Put the decimal point.Precalculus. Simplify square root of 75- square root of 12. √75 − √12 75 - 12. Simplify each term. Tap for more steps... 5√3−2√3 5 3 - 2 3. Subtract 2√3 2 3 from 5√3 5 3. 3√3 3 3. The result can be shown in multiple forms. Evaluate square root of 75/3. √ 75 3 75 3. Divide 75 75 by 3 3. √25 25. Rewrite 25 25 as 52 5 2. √52 5 2. Pull terms out from under the radical, assuming positive real numbers. 5 5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ... Proof that the square root of 75 is 8.66025403784439. The square root of 75 is defined as the only positive real number such that, multiplied by itself, it is equal to 75. The square …The square root of 9 is equal to 3. It is represented as √9 in radical form and 9 1/2 in exponential form. When we multiply a number by itself we get the square of the number. The square root of any number is a value that is multiplied by itself to get the original value. So, the square root of 9, denotes to reverse of the square of the number 9.Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-stepFinite Math. Simplify 4 square root of 27- square root of 75. 4√27 − √75 4 27 - 75. Simplify each term. Tap for more steps... 12√3−5√3 12 3 - 5 3. Subtract 5√3 5 3 from 12√3 12 3. 7√3 7 3. The result can be shown in multiple forms.Here is the answer to questions like: What is the square root of 100.75 | √100.75 or what is the square root of 100.75? Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.13-Jun-2022 ... Square ANY number up to 1000 in 5 seconds - math trick! tecmath•1.2M ... Solve Root 45 - 3 Root 20 + 4 Root 5. Math Army•36K views · 33:45. Go to ...Basic Math. Simplify square root of 75+ square root of 27. √75 + √27 75 + 27. Simplify each term. Tap for more steps... 5√3+3√3 5 3 + 3 3. Add 5√3 5 3 and 3√3 3 3. 8√3 8 3. The result can be shown in multiple forms. We can leverage the radical property. √ a b = √a √b. All this is saying is that the square root of the quotient is the same as the quotient of the square roots. We can now rewrite our expression as. √12 √75. This is equivalent to. (√4 ⋅ √3) (√25 ⋅ √3) Since we have a √3 on the top and bottom, these cancel: √4 ⋅ √3 ...sqrt (1370) No simplification exists, Root remains : • sqrt (1370) Simplify : sqrt (1370) Factor 1370 into its prime factors 1370 = 2 • 5 • 137 To simplify a square root, we ... sqrt (1372) Simplified Root : 14 • sqrt (7) Simplify : sqrt (1372) Factor 1372 into its prime factors 1372 = 22 • 73 To simplify a square root, we extract ...Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepWe can simplify radicals using square numbers. Start by listing the factors: #75 and 1# #25 and 3# #15 and 5# #25# is a squared number, so we can use #25# and #3# #rArr sqrt25 xx sqrt3# #sqrt25# can be simplified: #sqrt25=5# #therefore# #rArr 5sqrt3#Simplify square root of 75 √75 75 Rewrite 75 75 as 52 ⋅3 5 2 ⋅ 3. Tap for more steps... √52 ⋅3 5 2 ⋅ 3 Pull terms out from under the radical. 5√3 5 3 The result can be shown in …Algebra. Calculate the Square Root square root of 75. √75 75. Rewrite 75 75 as 52 ⋅3 5 2 ⋅ 3. Tap for more steps... √52 ⋅3 5 2 ⋅ 3. Pull terms out from under the radical. 5√3 5 3. The result can be shown in multiple forms.Algebra. Simplify square root of 108. √108 108. Rewrite 108 108 as 62 ⋅3 6 2 ⋅ 3. Tap for more steps... √62 ⋅3 6 2 ⋅ 3. Pull terms out from under the radical. 6√3 6 3. The result can be shown in multiple forms. Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}. ... \sqrt{3}. Take the square root of 3^{2}. 2\sqrt{3} Combine 5\sqrt{3} and -3\sqrt{3} to get 2\sqrt{3}. Examples. Quadratic equation { x } ^ { 2 } - 4 x - 5 = 0. Trigonometry ...There is a difference between taking the square root of a number which is always positive (√100=10) and solving x^2=100 which gives both a positive and negative answer. The first is finding a value on the square root function, the second is finding the x intercepts of an equation.Here is the answer to questions like: Square root of negative 75 step by step solution | √-75 or what is the square root of -75? Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.Here is the answer to questions like: Square root of 22.75 | √22.75 or what is the square root of 22.75? Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.25-Oct-2021 ... How to find square roots using long division method | √169 =13 #squareroots Other videos: How do you find the square root? links :- ✍️√729 ...17-Dec-2018 ... sqrt(75x), square root of 75x simplify.Precalculus. Simplify square root of 75- square root of 12. √75 − √12 75 - 12. Simplify each term. Tap for more steps... 5√3−2√3 5 3 - 2 3. Subtract 2√3 2 3 from 5√3 5 3. 3√3 3 3. The result can be shown in multiple forms. The square root of 5.75 is the number y such that y² = 5.75. Here you can learn all about it; in addition to a calculator you will like. ... Note that each article also contains a square root calculator, as well as links to frequent and related calculations including, but not limited to a number squared, and further information. ...Algebra. Simplify 5 square root of 75. 5√75 5 75. Rewrite 75 75 as 52 ⋅3 5 2 ⋅ 3. Tap for more steps... 5√52 ⋅3 5 5 2 ⋅ 3. Pull terms out from under the radical. 5(5√3) 5 ( 5 3) Multiply 5 5 by 5 5.Answer: 8.66 = 9. Step-by-step explanation: The square root of 75 is approximately equal to 8.66 but if rounded 9Simplify square root of 12-2/5* square root of 75. √12 − 2 5 ⋅ √75 12 - 2 5 ⋅ 75. Simplify each term.Taking a positive integer and squaring it (multiplying it by itself) equals a perfect square. Example: 3 x 3 = 9 Thus: 9 is a perfect square. Taking the square root (principal square root) of that perfect square equals the original positive integer. Example: √ 9 = 3 Where: 3 is the original integer. Note: An integer has no fractional or ...The square root of 75 is 8.66, which is not a rational number. Learn how to find the square root of 75 in decimal, radical and prime factorization forms with step-by-step methods and examples. Trigonometry. Evaluate square root of 75/25. √ 75 25 75 25. Divide 75 75 by 25 25. √3 3. The result can be shown in multiple forms. Exact Form: √3 3. Decimal Form:Start with the square of 50, 2500, add 100 times the distance between 50 and the number, and then add the square of the distance of 50 and the number. For instance, 43 2 = 2500 - 700 + 49 = 1849. This comes from the simple FOIL identity (50 + x) 2 = 2500 - 100x + x 2.The perfect squares closest to 12 are 9 and 16. The difference between 12 and 9 is 12 - 9 = 3. The difference between 12 and 16 is 16 - 12 = 4. According to the results above, the closest perfect square to 12 is 9. Thus, the closest integer to \mathbf {\sqrt {\color {#3a5998}12}} 12 is \mathbf {\sqrt {\color {olive}9}=\color {olive}3} 9 = 3 and ...Trigonometry. Evaluate square root of 75/25. √ 75 25 75 25. Divide 75 75 by 25 25. √3 3. The result can be shown in multiple forms. Exact Form: √3 3. Decimal Form:1 Answers. #1. +5. Best Answer. sqrt (75) = sqrt (25 x 3) = sqrt (25) x sqrt (3) Can you finish this now? Guest Jan 12, 2015.May 3, 2023 · Follow the below steps to find the square root of 75 by average method: Step 1: Take two perfect square numbers which are just smaller than 75 and just greater than 75, i.e. √64 < √75 < √81 ⇒ 8 < √75 < 9. Step 2: Using the average method, divide 75 by 8 or 9. Step 3: Let us divide by 9, 75 ÷ 9 = 8.33. The square root of 125 is denoted by √125, where '√' is the radical symbol and 125 is the radicand. Square root of 125 = √125 = ±5√5. Or. In decimal form, √125 = 11.1803398875. Or. In Exponent Form, (125) ½ = 11.1803398875. 125 is an imperfect square therefore, the square root of 125 will not be a whole number.Even easier: Reduce the fraction 48/75 to lowers terms first to get 16/25 which is just 4 2 /5 2.. Then take the the square root to get 4/5.The square root of 157 is expressed as √157 in the radical form and as (157) ½ or (157) 0.5 in the exponent form. The square root of 157 rounded up to 9 decimal places is 12.529964086. It is the positive solution of the equation x 2 = 157. Square Root of 157: 12.529964086141668. Square Root of 157 in exponential form: (157) ½ or (157) 0.5. | Clsmgzjtbcmoi (article) | Mgxuaewy.